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lfunc_lfunctions • Show schema
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{'Lhash': '1317966853994378776699682908730', 'a10': [-141.42123198747913, -0.1874650463661467], 'a2': [0.0074986018546458685, -5.656849279499165], 'a3': [-8.155858694976885, 13.284651630643912], 'a4': [-31.999887541940453, -0.08483692099740917], 'a5': [0.0, -25.0], 'a6': [75.08811446806904, 46.23607969573287], 'a7': [0.0, 55.602282595782825], 'a8': [-0.7198640914895755, 181.01790462738703], 'a9': [-109.96393789513988, -216.695483023052], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.62302918877884, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.0074986018546458685, 5.656849279499165]]], [3, [[1.0, 0], [8.155858694976885, -13.284651630643912]]], [5, [[1.0, 0], [0, 25.0]]]], 'bad_primes': [2, 3, 5], 'central_character': '60.11', 'coefficient_field': 'CDF', 'conductor': 60, 'conductor_radical': 30, 'conjugate': '1393353773477719800637006591339', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.0880526432599', 'prec': 50}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.03969252549329474057421848777', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.99746439192005057757465385313', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.93964579994513356962641112952', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.62302918877884, 'bad_primes': [2, 3, 5], 'central_character': '12.11', 'conductor': 60, 'conductor_radical': 30, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/60/6/e/a/11/21'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-60-12.11-c5-0-14', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-60-12.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1021007702489034, 'root_angle': 0.08805264325994878, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.03969252549329474057421848777', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1317966853994378776699682908730', 'Lhash_array': ['1317966853994378776699682908730'], 'label': '2-60-12.11-c5-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/60/6/e/a/11/21'}